[0001] The present invention relates to a refrigeration device for the refrigeration of
a gas mixture of a cooling gas and a buffer gas and its surrounding material by using
laser light having the features of the preamble of claim 1, a refrigerator comprising
at least one such refrigeration device and a method for cooling gas using laser light
having the features of the preamble of claim 11.
[0002] Lasers are sources of energy which is highly concentrated in space and momentum at
almost zero entropy. This effective very low temperature is very successfully used
to cool dilute atomic gases to almost arbitrarily close to absolute zero. In addition,
laser light generated optical traps can be considered to have zero temperature walls.
Similarly, opto-mechanical cooling of single eigenmodes of microscopic mechanical
oscillators can reach the quantum ground state. Despite long standing efforts, the
applications towards cooling molecular gases, liquids or in particular whole solid
objects, however, proved significantly more difficult to implement. Already two decades
ago the first basic proof-of-concept implementations used selective doping to cool
a whole optical fiber by tens of degrees. Anti-Stokes Raman light scattering of the
guided field modes was used to strongly depopulate phononic or motional modes. Unfortunately,
non-radiative emission processes and reabsorption of the anti-Stokes photons by pollutions
in the material as well as heating from the environment and support structures prevented
to reach much lower temperatures. In the following generations of experiments, the
use of isotope purified small crystals and improved environmental shielding finally
allowed to reach cryogenic temperatures of macroscopic objects, significantly beating
the temperature limits achieved via thermo-electric cooling.
[0003] A solid-state refrigeration device according to the prior art is discussed in
US 8,720,219 B1.
[0004] Despite these significant improvements over the last two decades, the efficiency
of the cooling process remained rather low, reaching only a couple of Milliwatt (mW)
of cooling power from 50 Watt (W) of laser power. As one central reason for this low
efficiency one can identify the rather limited Stokes shift of the emitted phonons
of less than 1/1000 of their frequency. Hence one needs thousands of successful cycles
with nonradiative decay per background absorption.
[0005] Interestingly, it has been shown recently that this ratio can be tremendously improved
using excited molecular states (exciplexes) of Alkali-rare gas molecules as e. g.
Rb-Ar or K-Ar which do not have bound ground states (
U. V. A. Saß and M. Weitz, "Laser cooling of a potassium-argon gas mixture using collisional
redistribution of radiation." Appl Phys B 102, 503-507 (2011)). The Alkali atoms play the role of the cooling gas while the Ar atoms are the buffer
gas at high pressure to insure the formation of exciplexes. The experiments are, however,
limited to geometries unfavorable to macroscopic refrigeration (gas cell) with specific
mixtures (Rb-Ar or K-Ar) where cooling is observed as spectral narrowing of the emission
lines of Rb or K atoms. It is therefore desirable to identify optimal cooling geometries
and optimal exciplex gas components with the aim of providing a refrigeration mechanism
for the larger environment and not only of local alkali environments within the exciplex
gas.
[0006] It is an object of the invention to provide for a refrigeration device and a method
for cooling a cooling gas in which efficiency of the cooling process is increased.
[0007] This object is being achieved by a refrigeration device with the features of claim
1, a refrigerator comprising at least one such refrigeration device and a method with
the features of claim 11.
[0008] The invention is based on the particular property of exciplexes formed, e. g., by
alkali atoms colliding with noble gas atoms, which do not bind in the ground state
but instead exhibit a transitory bound excited state. During the small time-window
of exciplex formation, photons generated by the at least one laser light device (of
energy ℏω
L) and coupled into that at least one hollow-core waveguide by way of the at least
one optical coupling device (e. g. in the form of an optical lens or lens system),
which are energetically matched to the instantaneous binding energy can be absorbed.
During subsequent dynamics, the exciplex becomes unbound and upconverted blue-shifted
photons at an energy ℏω
0, which correspond to the bare transition of the cooling gas and which is larger than
ℏω
L, can be spontaneously emitted. An overall energy loss of ℏΩ = ℏω
0 - ℏω
L > 0 per cycle occurs in the gas mixture, leading to a reduction of temperature of
the cooling gas and its surrounding material. The process efficiency is described
by the parameter

which can reach much larger values (∼ 10 %) compared to similar cooling schemes.
[0009] The use of hollow-core waveguides provides that laser light is very efficiently used
for the cooling process as the light travels mostly in the gas filled core over a
long interaction length. The length of the at least one hollow-core waveguide(s) can
be chosen such that an input power I
0 of laser light coupled into the at least one hollow-core waveguide is being reduced
to a much lower power I
out by light absorption in exciplexes and scattering out of the hollow-core waveguide
(ideally for long waveguides I
out will be close to zero). Two important advantages are offered by the one-dimensional
geometry of the hollow-core waveguide:
- unwanted light absorption by material of the waveguide is very low as light does not
propagate through the boundary material
- spontaneously emitted photons are upshifted in energy to frequencies which are not
supported by the waveguide thus effectively cancelling unwanted reabsorption in the
gas mixture
[0010] It is preferably provided that the density of buffer gas inside the hollow-core waveguide
is chosen to be much larger (e. g. by at least a factor of 10, 100 or 1000) than the
density of the cooling gas thereby reducing the number of collisions between the atoms
or molecules of the cooling gas.
[0011] It is of course not necessary to provide separate sources of cooling gas and buffer
gas wherein each of the sources is separately connected to the at least one hollow-core
waveguide(s). There could also be a joint or common gas source of cooling gas and
buffer gas containing these gases in pre-mixed form. In such an embodiment both, the
cooling gas source and the buffer gas source are being embodied by the joint or common
gas source.
[0012] The buffer gas should be chosen to be chemically inert with respect to the cooling
gas. Suitable buffer gases could be noble gases.
[0013] The cooling gas and/or the buffer gas could be composed of single chemical elements
or could be composed of chemical compounds, molecules or the like.
[0014] The hollow-core waveguide(s) can be arranged such that it/they run along a straight
line or it/they could be bent. It is also possible to use hollow-core waveguide(s)
which is/are bent into a circle such that the hollow-core(s) provide(s) an endless
space. The optical coupling device can be arranged at one specific position on the
circumference of the waveguide(s). It is also possible to use more than one optical
coupling device.
[0015] In an embodiment of the invention the at least one buffer gas source is configured
to provide a noble gas, preferably argon.
[0016] In an embodiment of the invention the at least one cooling gas source is configured
to provide alkali gas, preferably Rubidium, or halogen gas, preferably chlorine gas
or fluoride gas.
[0017] In an embodiment of the invention the at least one hollow-core waveguide is made
of dielectric material and/or is in the form of a fiber, preferably in the form of
a photonic crystal fiber.
[0018] In an embodiment of the invention there is provided a plurality of hollow-core waveguides
which are bundled together (and possibly to each other) and which preferably are coupled
to the same laser light device(s). This improves cooling by increasing the volume
to surface ratio of the refrigeration device.
[0019] In an embodiment of the invention a pressure of a mixture of the atoms or molecules
of the buffer gas and the atoms or molecules of the cooling gas in the at least one
hollow-core waveguide is in a range of about 1 bar to about 50 bar, preferably about
5 bar to about 25 bar.
[0020] In an embodiment of the invention a length of the at least one hollow-core waveguide
is chosen such that at least 10 %, preferably at least 50 %, of the power of the laser
light coupled into the at least one hollow-core waveguide is being absorbed via exciplex-formation
present in the at least one hollow-core waveguide.
[0021] In an embodiment of the invention a diameter of the hollow-core of the at least one
hollow-core waveguide is in a range of about 5 µm to about 100 µm, preferably in a
range of about 15 µm to about 25 µm.
[0022] In an embodiment of the invention the at least one laser light device for generating
laser light is configured to generate laser light with a wavelength in a range of
about 200 nm to about 1000 nm, preferably with a wavelength in a range of about 500
nm to about 700 nm.
[0023] In all of the above-referenced embodiments it is possible that the refrigeration
device is used to cool the cooling gas as a primary object of its operation. Of course,
it is also possible to use the fact that the cooling gas cools the walls of the at
least one hollow-core waveguide to operate a refrigerator comprising at least one
refrigeration device according to at least one of the discussed embodiments.
[0024] The at least one hollow-core waveguide provides a quasi-one-dimensional geometry
for the formation and dynamics of the exciplexes.
[0025] A surprising result is that increasing buffer gas density (as a means to increase
the frequency of collisions) is not always an optimal strategy as it can reduce cooling
rates.
[0026] In an embodiment of the invention it is provided that the hollow-core of the waveguide
is closed on both ends of the waveguide with respect to the cooling gas and the buffer
gas (but is of course open to receive the laser light generated by the at least one
laser light device and coupled into the hollow-core by the optical coupling device).
In this case it can be provided that the hollow-core waveguide has at least one opening
which can be opened and closed in order to release the cooled cooling gas.
[0027] In an embodiment of the invention the gas mixture of cooling gas and buffer gas is
pumped through the fiber entering at ambient temperature on one end and exiting at
much lower temperature on the other end. Temperature limit of the gas mixture can
be much lower as for Peltier (< 150 K) and the gas mixture can be used to cool other
devices.
[0028] Embodiments of the invention are being described with respect to Fig. 1 - 4:
Fig. 1 shows schematically an embodiment of the invention comprising a multimode hollow-core
waveguide 2 in the form of a fiber of inner radius r and length I filled with Rb-Ar
gas which is pumped by laser light provided by a laser light device 1 at central frequency
ωL with bandwidth δω and input power I0. Cooling gas (by way of example Rubidium - Rb) is provided into the hollow-core of
the hollow-core waveguide 2 by a cooling gas source 5. Buffer gas (by way of example
Argon - Ar) is provided into the hollow-core of the hollow-core waveguide 2 by a buffer
gas source 4. Other than shown, the cooling gas and the buffer gas could be pre-mixed
outside the hollow-core waveguide 2 such that the gas mixture of cooling gas and buffer
gas could be provided to the hollow-core waveguide 2.
The laser light generated by the laser light device 1 is coupled into the hollow-core
waveguide 2 by an optical coupling device 3 which is known in the prior art (e. g.
one or more optical lenses). Power loss resulting in a reduction of the kinetic energy
of the cooling gas occurs via spontaneous emission from the Rb atoms leading to a
reduced power Iout of laser light leaving hollow-core waveguide 2.
Fig. 2 shows the dynamics of an inventive cooling process for an example working with
a Rb-Ar collision process showing a ground state Ar atom approaching a Rb atom initially
in the ground state at constant velocity v. On the y-axis ground state potential Ug(a) and the excited state potential Ue(a) are shown. On the x-axis the separation between the Ar atom and Rb atom is shown.
During the collision time τ ≃ 2δa/v, the laser light is resonant to the transition
between distances a0 ± δa where a0 is the coordinate of the minimum of Ue(a). Following absorption at frequency ℏωL ≃ Ue(a0) - Ug(a0) an exciplex is formed with a lifetime of τγ = γ-1. Spontaneous emission at rate γ leads to an effective energy loss.
Fig. 3 shows a table with parameters for an embodiment of the invention using Rb as
cooling gas and Ar as buffer gas. An initial temperature resulted in a relative collision
velocity of about v = 433 m/s. Spontaneous emission rate γ = 2π × 5.75 MHz, loss per cycle is about Ω = 2π × 6,7154 THz. The bare ground-excited frequency difference is ω0 = 2π × 377 THz. The simulations in Fig. 4 have been done for these parameters.
Fig. 4a shows a sketch of a bundle of N hollow-core waveguides 2 in the form of fibers
as an arrangement that minimizes heat flow while maximizing cooling power leading
to a temperature drop roughly scaling as

where δT is the single fiber temperature drop.
Fig. 4b shows the temperature vs. radius for a single hollow-core waveguide 2.
Fig. 4c shows the temperature plotted in grey values (darker grey means lower temperature)
for a bundle similar to the one shown in Fig. 4a over a section orthogonal to the
extension of the bundle.
Fig. 4d shows the temperature in Kelvin for y = 0 in Fig. 4c.
List of Reference Signs:
[0029]
- 1
- laser light device
- 2
- hollow-core waveguide
- 3
- optical coupling device
- 4
- buffer gas source
- 5
- cooling gas source
- ωL
- frequency of laser light
- δω
- bandwidth of laser light
- I0
- input power of laser light entering hollow-core waveguide
- Iout
- power of laser light leaving hollow-core waveguide
- ω0
- transition frequency between bare excited and bare ground state of cooling gas
- ℏΩ
- energy loss of cooling gas per spontaneous emission event
- Ug(a)
- ground state potential
- Ue(a)
- excited state potential
- a0
- coordinate of the minimum of Ue(a)
- δa
- variance in distance around a0
- τ
- collision time
- τγ
- lifetime of exciplex
- γ
- spontaneous emission rate
- v
- velocity
1. Refrigeration device, comprising:
- at least one laser light device (1) for generating laser light characterized in that there are provided
- at least one hollow-core waveguide (2)
- at least one optical coupling device (3) for coupling laser light generated by the
at least one laser light device (1) into the at least one hollow-core waveguide (2)
- at least one buffer gas source (4) which is or can be connected to the at least
one hollow-core waveguide (2) for providing buffer gas into the hollow-core of the
hollow-core waveguide (2) and at least one cooling gas source (5) for cooling gas
which is or can be connected to the at least one hollow-core waveguide (2) for providing
cooling gas into the hollow-core of the hollow-core waveguide (2) such that during
operation of the refrigeration device atoms or molecules of the buffer gas and atoms
or molecules of the cooling gas are present together and collide with each other in
the hollow-core of the at least one hollow-core waveguide (2)
and
in that the buffer gas provided by the at least one buffer gas source (4) and the cooling
gas provided by the at least one cooling gas source (5) are chosen such that in the
presence of laser light generated by the at least one laser light device (1) and due
to the collisions the atoms or molecules of the cooling gas and the buffer gas form
exciplexes, which do not bind in the ground state, but instead exhibit a transitory
bound excited state and thermic energy of the atoms or molecules of the cooling gas
is being converted to photons spontaneously emitted during the decay of the exciplexes
thereby cooling the atoms or molecules of the cooling gas.
2. Device according to claim 1, wherein the at least one buffer gas source (4) is configured
to provide a noble gas, preferably argon.
3. Device according to one of the preceding claims, wherein the at least one cooling
gas source (5) is configured to provide alkali gas, preferably Rubidium, or a halogen
gas, preferably chlorine gas or fluoride gas or an excimer gas mixture
4. Device according to one of the preceding claims, wherein the at least one hollow-core
waveguide (2) is made of dielectric material and/or is in the form of a fiber, preferably
in the form of a photonic crystal fiber.
5. Device according to one of the preceding claims, wherein there is provided a plurality
of hollow-core waveguides (2) which are bundled together and which preferably are
coupled to the same laser light device (1).
6. Device according to one of the preceding claims, wherein a pressure of a mixture of
the atoms or molecules of the buffer gas and the atoms or molecules of the cooling
gas in the at least one hollow-core waveguide (2) is in a range of about 1 bar to
about 50 bar, preferably about 5 bar to about 25 bar.
7. Device according to one of the preceding claims, wherein a length of the at least
one hollow-core waveguide (2) is chosen such that at least 10 %, preferably at least
50 %, of the power of the laser light coupled into the at least one hollow-core waveguide
(2) is being absorbed via exciplex-formation present in the at least one hollow-core
waveguide (2).
8. Device according to one of the preceding claims, wherein a diameter of the hollow-core
of the at least one hollow-core waveguide (2) is in a range of about 5 µm to about
100 µm, preferably in a range of about 15 µm to about 25 µm.
9. Device according to one of the preceding claims, wherein the at least one laser light
device (1) for generating laser light is configured to generate laser light with a
wavelength in a range of about 200 nm to about 1000 nm, preferably with a wavelength
in a range of about 500 nm to about 700 nm.
10. Refrigerator comprising at least one refrigeration device according to at least one
of the preceding claims.
11. Method for cooling gas in which the gas to be cooled is mixed with a buffer gas which
is chosen such that such that the atoms or molecules of the cooling gas and the atoms
or molecules of the buffer gas do not bind in the ground state but instead exhibit
a transitory bound excited state characterized in that the mixture is irradiated with laser light in at least one hollow-core waveguide
(2) such that light exciplexes are formed by the laser light and by the collisions
of atoms or molecules of the cooling gas and atoms or molecules of the buffer gas
and thermic energy of the atoms or molecules of the cooling gas is being converted
to photons spontaneously emitted during the decay of the exciplexes thereby cooling
the atoms or molecules of the cooling gas.